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Finding the Fourth Proportional to 6,530.85, 9,012.51 and 3,698.15

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Solution

The fourth proportional to 6,530.85, 9,012.51 and 3,698.15 is: 5,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.85 : 9,012.51 = 3,698.15 : x
  2. Step 2: Convert to fraction form
    6,530.85/9,012.51 = 3,698.15/x
  3. Step 3: Cross multiply
    6,530.85x = 9,012.51 × 3,698.15
  4. Step 4: Simplify right side
    6,530.85x = 33,329,613.86
  5. Step 5: Solve for x
    x = 33,329,613.86/6,530.85
  6. Step 6: Final answer
    x = 5,103.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.